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Title: Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter

Abstract

In a close encounter with a neutron star, a primordial black hole can get gravitationally captured by depositing a considerable amount of energy into nonradial stellar modes of very high angular number l. If the neutron-star equation of state is sufficiently stiff, we show that the total energy loss in the point-particle approximation is formally divergent. Various mechanisms — including viscosity, finite-size effects and the elasticity of the crust — can damp high-l modes and regularize the total energy loss. Within a short time, the black hole is trapped inside the star and disrupts it by rapid accretion. Estimating these effects, we predict that the existence of old neutron stars in regions where the dark-matter density ρ{sub DM}∼>10{sup 2}(σ/km s{sup −1}) GeV cm{sup −3} (where σ is the dark-matter velocity dispersion) limits the abundance of primordial black holes in the mass range 10{sup 17} g∼

Authors:
 [1];  [2]
  1. CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, Lisboa, 1049 Portugal (Portugal)
  2. Institute for Theory and Computation, Harvard-Smithsonian CfA, 60 Garden Street, Cambridge, MA, 02138 (United States)
Publication Date:
OSTI Identifier:
22373525
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2014; Journal Issue: 06; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; BLACK HOLES; ENERGY LOSSES; EQUATIONS OF STATE; NEUTRON STARS; NONLUMINOUS MATTER

Citation Formats

Pani, Paolo, and Loeb, Abraham. Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter. United States: N. p., 2014. Web. doi:10.1088/1475-7516/2014/06/026.
Pani, Paolo, & Loeb, Abraham. Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter. United States. https://doi.org/10.1088/1475-7516/2014/06/026
Pani, Paolo, and Loeb, Abraham. Sun . "Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter". United States. https://doi.org/10.1088/1475-7516/2014/06/026.
@article{osti_22373525,
title = {Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter},
author = {Pani, Paolo and Loeb, Abraham},
abstractNote = {In a close encounter with a neutron star, a primordial black hole can get gravitationally captured by depositing a considerable amount of energy into nonradial stellar modes of very high angular number l. If the neutron-star equation of state is sufficiently stiff, we show that the total energy loss in the point-particle approximation is formally divergent. Various mechanisms — including viscosity, finite-size effects and the elasticity of the crust — can damp high-l modes and regularize the total energy loss. Within a short time, the black hole is trapped inside the star and disrupts it by rapid accretion. Estimating these effects, we predict that the existence of old neutron stars in regions where the dark-matter density ρ{sub DM}∼>10{sup 2}(σ/km s{sup −1}) GeV cm{sup −3} (where σ is the dark-matter velocity dispersion) limits the abundance of primordial black holes in the mass range 10{sup 17} g∼},
doi = {10.1088/1475-7516/2014/06/026},
url = {https://www.osti.gov/biblio/22373525}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 06,
volume = 2014,
place = {United States},
year = {2014},
month = {6}
}